含五次对称的准晶体的点群与单形

应该把有关准晶体的研究纳入晶体学领域,扩大晶体学的内容与涵义。作者把含有五次对称的准晶体的点群与单形作了推导,与经典结晶学相比,增加了14种新点群和24种新单形。此外,作者根据准晶态的构筑原理,又推导出4种准晶格。

THE POINT GROUPS AND THE SINGLE FORMS OF QUASICRYSTAL WITH FIVE-FOLD SYMMETRY

The studies on quasicrystals should be incorporated into the field of crystallography to expand the content of crystallography. A set of point groups and single forms existing in quasicrystal with five-fold symmetry, has been derived. Comparing with classical crystallography, fourteen new point groups and twenty four new single forms have been added. In addition, according to the building principle of quasicrystal, four quasicrystal lattices have been deduced.